985968159 has 64 divisors (see below), whose sum is σ = 1609320960. Its totient is φ = 529182720.

The previous prime is 985968157. The next prime is 985968173. The reversal of 985968159 is 951869589.

It is not a de Polignac number, because 985968159 - 2¹ = 985968157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985968157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2483349 + ... + 2483745.

It is an arithmetic number, because the mean of its divisors is an integer number (25145640).

It is the magic constant of a 1254 × 1254 magic square.

Almost surely, 2^985968159 is an apocalyptic number.

985968159 is a deficient number, since it is larger than the sum of its proper divisors (623352801).

985968159 is a wasteful number, since it uses less digits than its factorization.

985968159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its digits is 6998400, while the sum is 60.

The square root of 985968159 is about 31400.1299201134. The cubic root of 985968159 is about 995.3006705624.

The spelling of 985968159 in words is "nine hundred eighty-five million, nine hundred sixty-eight thousand, one hundred fifty-nine".